The complement of polyhedral product spaces and the dual simplicial complexes

摘要

In this paper, we define and prove basic properties of complement polyhedral product spaces, dual complexes and polyhedral join complexes. Then we compute the universal algebra of polyhedral join complexes under certain split conditions and the Alexander duality isomorphism on certain polyhedral product spaces. (C) 2017 Elsevier B.V. All rights reserved.